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Numerical Solution of the One Dimensional Non-Linear Burgers Equation Using the Adomian Decomposition Method and the Comparison Between the Modified Local Crank-Nicolson Method and the Vim Exact Solu
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نویسنده
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Haghighi Ar. ,Shojaeifard M
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منبع
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International Journal Of Industrial Mathematics - 2015 - دوره : 7 - شماره : 2 - صفحه:149 -159
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چکیده
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The burgers equation is a simplified form of the navier-stokes equations that very well represents their non-linear features. in this paper, numerical methods of the adomian decomposition and the modified crank nicholson, used for solving the one-dimensional burgers equation, have been com- pared. these numerical methods have also been compared with the analytical method. in contrast to the conventional crank-nicolson method, the mlcn method is an explicit and unconditionally stable method. the adomian decomposition method includes the unknown function u (x), in which each equation is defined and solved by an infinite series of unbounded functions. velocity parameters u in the direction of the x axis, are examined at different times with different reynolds numbers over a fixed time step. also the accuracy of the adomian and the crank-nicolson methods at different reynolds numbers have been studied using two examples with different initial conditions, and the adomian decomposition method is closer to the analytical method
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کلیدواژه
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Non-Linear Burgers Equation ,Adomian Method ,THe Modified Local Crank-Nicolson Method
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آدرس
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Urmia University Of Technology, ایران, Urmia University Of Technology, ایران
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Authors
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